Kinematics... please help

hey guys i got my maths exam in two days and need urgent help in the kinematics area.

i get some of the basic stuff but anyways the question i'm struggling with is

Particle moves in a straight line so its position x cm relative to O at time t seconds (t≥0)
is given by x=t²-7t+12
FIND
a. initial positiont=0
so therefore x=0²-7(0)+12
x=12 cm to right of O
b. position at t=5so therefore
x=5²-7(5)+12
x=25-35+12
x=2 cm to the right of O when t=5c. initial velocity
d. when and where velocity = 0
e. average velocity in the first 5s
f. average speed in the first 5s

alright the ones in red are the ones im sturggling with

anyone help would be greatly appreciated... thanks a lot guys and girls

hey guys i got my maths exam in two days and need urgent help in the kinematics area.

i get some of the basic stuff but anyways the question i'm struggling with is

Particle moves in a straight line so its position x cm relative to O at time t seconds (t≥0)is given by x=t²-7t+12FINDa. initial positiont=0so therefore x=0²-7(0)+12x=12 cm to right of Ob. position at t=5so thereforex=5²-7(5)+12
x=25-35+12
x=2 cm to the right of O when t=5c. initial velocity

The velocity is:

So the initial velocity is:

d. when and where velocity = 0e. average velocity in the first 5sf. average speed in the first 5s

You should be able to do d. yourself.

e. The average velocity in the first 5 seconds is the change in position
in those five seconds divided by 5, so:

If you don't know that you have no business to be trying to answer this question. There's no way to do this problem without Calculus.

Edit: Well, I suppose you could do it using the basic kinematics equations for motion with constant acceleration, but to expect a student to come up with the solution on their own would be like expecting Aristotle to come up with Kepler's Laws: in principle he could have done it, but it wouldn't be very likely.